{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MovieLens的数据集——数据探索\n",
    "\n",
    "数据集包含三个主要文件：\n",
    "1. 用户电影打分三元表：u.data\n",
    "4个字段：\n",
    "1）user_id：用户ID\n",
    "2）movie_id：电影ID\n",
    "3）rating：用户打分\n",
    "4）timestamp：表示用户打分的时间，unix seconds since 1/1/1970 UTC\n",
    "\n",
    "2. 用户基本信息表：u.user\n",
    "共5个字段：\n",
    "1）user_id：用户ID\n",
    "2）age：年龄\n",
    "3）gender：性别\n",
    "4）occupation：职业\n",
    "5）zip_code：邮编\n",
    "\n",
    "3. 电影基本信息表：u.item\n",
    "共5 + 19 个字段：\n",
    "1）movie_id：电影ID\n",
    "2）title：电影标题（带年份）\n",
    "3）release_date：电影发布日期\n",
    "4）video_release_date：Video发布日期\n",
    "5）imdb_url：链接\n",
    "\n",
    "6-25）genres（共19维）：\n",
    "'unknown', 'Action', 'Adventure',\n",
    "'Animation', 'Children\\'s', 'Comedy', 'Crime', 'Documentary', 'Drama', 'Fantasy',\n",
    "'Film-Noir', 'Horror', 'Musical', 'Mystery', 'Romance', 'Sci-Fi', 'Thriller', 'War', 'Western'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## import工具包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "pycharm": {
     "is_executing": false
    }
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "import datetime\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 读入评分数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user_id</th>\n",
       "      <th>item_id</th>\n",
       "      <th>rating</th>\n",
       "      <th>timestamp</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>196</td>\n",
       "      <td>242</td>\n",
       "      <td>3</td>\n",
       "      <td>881250949</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>186</td>\n",
       "      <td>302</td>\n",
       "      <td>3</td>\n",
       "      <td>891717742</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>22</td>\n",
       "      <td>377</td>\n",
       "      <td>1</td>\n",
       "      <td>878887116</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>244</td>\n",
       "      <td>51</td>\n",
       "      <td>2</td>\n",
       "      <td>880606923</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>166</td>\n",
       "      <td>346</td>\n",
       "      <td>1</td>\n",
       "      <td>886397596</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   user_id  item_id  rating  timestamp\n",
       "0      196      242       3  881250949\n",
       "1      186      302       3  891717742\n",
       "2       22      377       1  878887116\n",
       "3      244       51       2  880606923\n",
       "4      166      346       1  886397596"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#读取数据\n",
    "triplet_cols = ['user_id','item_id', 'rating', 'timestamp'] \n",
    "\n",
    "dpath = './data/'\n",
    "df_triplet = pd.read_csv(dpath +'u.data', sep='\\t', names=triplet_cols, encoding='latin-1')\n",
    "df_triplet.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "pycharm": {
     "is_executing": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 100000 entries, 0 to 99999\n",
      "Data columns (total 4 columns):\n",
      "user_id      100000 non-null int64\n",
      "item_id      100000 non-null int64\n",
      "rating       100000 non-null int64\n",
      "timestamp    100000 non-null int64\n",
      "dtypes: int64(4)\n",
      "memory usage: 3.1 MB\n"
     ]
    }
   ],
   "source": [
    "df_triplet.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "pycharm": {
     "is_executing": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user_id</th>\n",
       "      <th>item_id</th>\n",
       "      <th>rating</th>\n",
       "      <th>timestamp</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>196</td>\n",
       "      <td>242</td>\n",
       "      <td>3</td>\n",
       "      <td>1997-12-04 23:55:49</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>186</td>\n",
       "      <td>302</td>\n",
       "      <td>3</td>\n",
       "      <td>1998-04-05 03:22:22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>22</td>\n",
       "      <td>377</td>\n",
       "      <td>1</td>\n",
       "      <td>1997-11-07 15:18:36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>244</td>\n",
       "      <td>51</td>\n",
       "      <td>2</td>\n",
       "      <td>1997-11-27 13:02:03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>166</td>\n",
       "      <td>346</td>\n",
       "      <td>1</td>\n",
       "      <td>1998-02-02 13:33:16</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   user_id  item_id  rating           timestamp\n",
       "0      196      242       3 1997-12-04 23:55:49\n",
       "1      186      302       3 1998-04-05 03:22:22\n",
       "2       22      377       1 1997-11-07 15:18:36\n",
       "3      244       51       2 1997-11-27 13:02:03\n",
       "4      166      346       1 1998-02-02 13:33:16"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_triplet['timestamp'].astype('float64')\n",
    "df_triplet['timestamp']=df_triplet['timestamp'].map(datetime.datetime.fromtimestamp) # 时间格式转换\n",
    "df_triplet.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 计算用户数、电影数目"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of users = 943\n",
      "Number of movies = 1682\n"
     ]
    }
   ],
   "source": [
    "n_users = df_triplet['user_id'].unique().shape[0]\n",
    "n_items = df_triplet['item_id'].unique().shape[0]\n",
    "print ('Number of users = ' + str(n_users) + '\\n'+ 'Number of movies = ' + str(n_items) )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 计算每个用户的评分次数\n",
    "看哪些用户最活跃"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "405    737\n",
       "655    685\n",
       "13     636\n",
       "450    540\n",
       "276    518\n",
       "Name: user_id, dtype: int64"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 统计每部电影的评分人数，可看出电影的流行程度，默认是降序排列\n",
    "user_freq = df_triplet['user_id'].value_counts() \n",
    "user_freq.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "pycharm": {
     "is_executing": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(user_freq.index, user_freq)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 计算每个电影的评分次数\n",
    "看哪些电影最流行(被评分次数最多)\n",
    "基于流行度的推荐可以推荐最流行的电影"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>item_id</th>\n",
       "      <th>rating_times</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>50</td>\n",
       "      <td>583</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>258</th>\n",
       "      <td>258</td>\n",
       "      <td>509</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>100</th>\n",
       "      <td>100</td>\n",
       "      <td>508</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>181</th>\n",
       "      <td>181</td>\n",
       "      <td>507</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>294</th>\n",
       "      <td>294</td>\n",
       "      <td>485</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     item_id  rating_times\n",
       "50        50           583\n",
       "258      258           509\n",
       "100      100           508\n",
       "181      181           507\n",
       "294      294           485"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 统计每部电影的评分人数，可看出电影的流行程度，默认是降序排列\n",
    "items_rating_times = df_triplet['item_id'].value_counts() \n",
    "#item_freq.head()\n",
    "\n",
    "df_items_sorted_by_rating_times = pd.DataFrame({'item_id':items_rating_times.index, 'rating_times':items_rating_times})\n",
    "df_items_sorted_by_rating_times.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#按索引排列\n",
    "plt.bar(items_rating_times.index, items_rating_times)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "pycharm": {
     "is_executing": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#按评分次数排列\n",
    "items_rating_times1 = items_rating_times.copy()\n",
    "items_rating_times1.index = range(items_rating_times1.count()) # 对索引重新赋值，方便画图\n",
    "fig, ax = plt.subplots(1, 1)\n",
    "items_rating_times1.plot(ax=ax, title='Rating Times');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 看看最流行的是哪些电影，与u.item关联"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>item_id</th>\n",
       "      <th>title</th>\n",
       "      <th>release_date</th>\n",
       "      <th>video_release_date</th>\n",
       "      <th>imdb_url</th>\n",
       "      <th>unknown</th>\n",
       "      <th>Action</th>\n",
       "      <th>Adventure</th>\n",
       "      <th>Animation</th>\n",
       "      <th>Children's</th>\n",
       "      <th>...</th>\n",
       "      <th>Fantasy</th>\n",
       "      <th>Film-Noir</th>\n",
       "      <th>Horror</th>\n",
       "      <th>Musical</th>\n",
       "      <th>Mystery</th>\n",
       "      <th>Romance</th>\n",
       "      <th>Sci-Fi</th>\n",
       "      <th>Thriller</th>\n",
       "      <th>War</th>\n",
       "      <th>Western</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Toy Story (1995)</td>\n",
       "      <td>01-Jan-1995</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Toy%20Story%2...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>GoldenEye (1995)</td>\n",
       "      <td>01-Jan-1995</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?GoldenEye%20(...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Four Rooms (1995)</td>\n",
       "      <td>01-Jan-1995</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Four%20Rooms%...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Get Shorty (1995)</td>\n",
       "      <td>01-Jan-1995</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Get%20Shorty%...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Copycat (1995)</td>\n",
       "      <td>01-Jan-1995</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Copycat%20(1995)</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 24 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   item_id              title release_date  video_release_date  \\\n",
       "0        1   Toy Story (1995)  01-Jan-1995                 NaN   \n",
       "1        2   GoldenEye (1995)  01-Jan-1995                 NaN   \n",
       "2        3  Four Rooms (1995)  01-Jan-1995                 NaN   \n",
       "3        4  Get Shorty (1995)  01-Jan-1995                 NaN   \n",
       "4        5     Copycat (1995)  01-Jan-1995                 NaN   \n",
       "\n",
       "                                            imdb_url  unknown  Action  \\\n",
       "0  http://us.imdb.com/M/title-exact?Toy%20Story%2...        0       0   \n",
       "1  http://us.imdb.com/M/title-exact?GoldenEye%20(...        0       1   \n",
       "2  http://us.imdb.com/M/title-exact?Four%20Rooms%...        0       0   \n",
       "3  http://us.imdb.com/M/title-exact?Get%20Shorty%...        0       1   \n",
       "4  http://us.imdb.com/M/title-exact?Copycat%20(1995)        0       0   \n",
       "\n",
       "   Adventure  Animation  Children's  ...  Fantasy  Film-Noir  Horror  Musical  \\\n",
       "0          0          1           1  ...        0          0       0        0   \n",
       "1          1          0           0  ...        0          0       0        0   \n",
       "2          0          0           0  ...        0          0       0        0   \n",
       "3          0          0           0  ...        0          0       0        0   \n",
       "4          0          0           0  ...        0          0       0        0   \n",
       "\n",
       "   Mystery  Romance  Sci-Fi  Thriller  War  Western  \n",
       "0        0        0       0         0    0        0  \n",
       "1        0        0       0         1    0        0  \n",
       "2        0        0       0         1    0        0  \n",
       "3        0        0       0         0    0        0  \n",
       "4        0        0       0         1    0        0  \n",
       "\n",
       "[5 rows x 24 columns]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#读取数据\n",
    "item_cols = ['item_id', 'title', 'release_date', 'video_release_date', 'imdb_url', 'unknown', 'Action', 'Adventure',\n",
    " 'Animation', 'Children\\'s', 'Comedy', 'Crime', 'Documentary', 'Drama', 'Fantasy',\n",
    " 'Film-Noir', 'Horror', 'Musical', 'Mystery', 'Romance', 'Sci-Fi', 'Thriller', 'War', 'Western'] \n",
    "\n",
    "dpath = './data/'\n",
    "df_items = pd.read_csv(dpath +'u.item', sep='|', names=item_cols,encoding='latin-1') \n",
    "df_items.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "pycharm": {
     "is_executing": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>item_id</th>\n",
       "      <th>rating_times</th>\n",
       "      <th>title</th>\n",
       "      <th>release_date</th>\n",
       "      <th>video_release_date</th>\n",
       "      <th>imdb_url</th>\n",
       "      <th>unknown</th>\n",
       "      <th>Action</th>\n",
       "      <th>Adventure</th>\n",
       "      <th>Animation</th>\n",
       "      <th>...</th>\n",
       "      <th>Film-Noir</th>\n",
       "      <th>Horror</th>\n",
       "      <th>Musical</th>\n",
       "      <th>Mystery</th>\n",
       "      <th>Romance</th>\n",
       "      <th>Sci-Fi</th>\n",
       "      <th>Thriller</th>\n",
       "      <th>War</th>\n",
       "      <th>Western</th>\n",
       "      <th>ranking_rating_times</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>50</td>\n",
       "      <td>583</td>\n",
       "      <td>Star Wars (1977)</td>\n",
       "      <td>01-Jan-1977</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Star%20Wars%2...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>258</td>\n",
       "      <td>509</td>\n",
       "      <td>Contact (1997)</td>\n",
       "      <td>11-Jul-1997</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/Title?Contact+(1997/I)</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>100</td>\n",
       "      <td>508</td>\n",
       "      <td>Fargo (1996)</td>\n",
       "      <td>14-Feb-1997</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Fargo%20(1996)</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>181</td>\n",
       "      <td>507</td>\n",
       "      <td>Return of the Jedi (1983)</td>\n",
       "      <td>14-Mar-1997</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Return%20of%2...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>294</td>\n",
       "      <td>485</td>\n",
       "      <td>Liar Liar (1997)</td>\n",
       "      <td>21-Mar-1997</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/Title?Liar+Liar+(1997)</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 26 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   item_id  rating_times                      title release_date  \\\n",
       "0       50           583           Star Wars (1977)  01-Jan-1977   \n",
       "1      258           509             Contact (1997)  11-Jul-1997   \n",
       "2      100           508               Fargo (1996)  14-Feb-1997   \n",
       "3      181           507  Return of the Jedi (1983)  14-Mar-1997   \n",
       "4      294           485           Liar Liar (1997)  21-Mar-1997   \n",
       "\n",
       "   video_release_date                                           imdb_url  \\\n",
       "0                 NaN  http://us.imdb.com/M/title-exact?Star%20Wars%2...   \n",
       "1                 NaN          http://us.imdb.com/Title?Contact+(1997/I)   \n",
       "2                 NaN    http://us.imdb.com/M/title-exact?Fargo%20(1996)   \n",
       "3                 NaN  http://us.imdb.com/M/title-exact?Return%20of%2...   \n",
       "4                 NaN          http://us.imdb.com/Title?Liar+Liar+(1997)   \n",
       "\n",
       "   unknown  Action  Adventure  Animation  ...  Film-Noir  Horror  Musical  \\\n",
       "0        0       1          1          0  ...          0       0        0   \n",
       "1        0       0          0          0  ...          0       0        0   \n",
       "2        0       0          0          0  ...          0       0        0   \n",
       "3        0       1          1          0  ...          0       0        0   \n",
       "4        0       0          0          0  ...          0       0        0   \n",
       "\n",
       "   Mystery  Romance  Sci-Fi  Thriller  War  Western  ranking_rating_times  \n",
       "0        0        1       1         0    1        0                     0  \n",
       "1        0        0       1         0    0        0                     1  \n",
       "2        0        0       0         1    0        0                     2  \n",
       "3        0        1       1         0    1        0                     3  \n",
       "4        0        0       0         0    0        0                     4  \n",
       "\n",
       "[5 rows x 26 columns]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 根据频次大小依次取电影信息\n",
    "df_items_sorted_by_rating_times_merge = pd.merge(df_items_sorted_by_rating_times, df_items, how='left', left_on='item_id', right_on='item_id')\n",
    "df_items_sorted_by_rating_times_merge['ranking_rating_times']=range(items_rating_times.count()) # 加上排名,数字越小，排在越前面\n",
    "\n",
    "df_items_sorted_by_rating_times_merge.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 前二十大流行电影\n",
    "popular_items_count_top_20 = df_items_sorted_by_rating_times_merge.iloc[0:20]['rating_times']\n",
    "popular_items_top_20_titles =  df_items_sorted_by_rating_times_merge.iloc[0:20]['title']\n",
    "\n",
    "objects = (list(popular_items_top_20_titles))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_items_count_top_20)\n",
    " \n",
    "plt.rcdefaults()    \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Rating Count')\n",
    "plt.title('Most popular Movies')\n",
    " \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 计算每个电影的受欢迎程度\n",
    "看哪些电影的平均评分分数最高（总评分？）\n",
    "基于受欢迎的程度可以推荐最受欢迎的电影"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>item_id</th>\n",
       "      <th>mean_rating</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>item_id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1293</th>\n",
       "      <td>1293</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1467</th>\n",
       "      <td>1467</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1653</th>\n",
       "      <td>1653</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>814</th>\n",
       "      <td>814</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1122</th>\n",
       "      <td>1122</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         item_id  mean_rating\n",
       "item_id                      \n",
       "1293        1293          5.0\n",
       "1467        1467          5.0\n",
       "1653        1653          5.0\n",
       "814          814          5.0\n",
       "1122        1122          5.0"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "items_mean_rating = df_triplet['rating'].groupby(df_triplet['item_id']).mean()\n",
    "items_mean_rating = items_mean_rating.sort_values(ascending = False)\n",
    "\n",
    "df_items_sorted_by_mean_rating = pd.DataFrame(\n",
    "    {'item_id':items_mean_rating.index, 'mean_rating':items_mean_rating})\n",
    "df_items_sorted_by_mean_rating.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>item_id</th>\n",
       "      <th>mean_rating</th>\n",
       "      <th>rating_times</th>\n",
       "      <th>title</th>\n",
       "      <th>release_date</th>\n",
       "      <th>video_release_date</th>\n",
       "      <th>imdb_url</th>\n",
       "      <th>unknown</th>\n",
       "      <th>Action</th>\n",
       "      <th>Adventure</th>\n",
       "      <th>...</th>\n",
       "      <th>Horror</th>\n",
       "      <th>Musical</th>\n",
       "      <th>Mystery</th>\n",
       "      <th>Romance</th>\n",
       "      <th>Sci-Fi</th>\n",
       "      <th>Thriller</th>\n",
       "      <th>War</th>\n",
       "      <th>Western</th>\n",
       "      <th>ranking_rating_times</th>\n",
       "      <th>ranking_mean_rate</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1293</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3</td>\n",
       "      <td>Star Kid (1997)</td>\n",
       "      <td>16-Jan-1998</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?imdb-title-12...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1450</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1467</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2</td>\n",
       "      <td>Saint of Fort Washington, The (1993)</td>\n",
       "      <td>01-Jan-1993</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Saint%20of%20...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1483</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1653</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1</td>\n",
       "      <td>Entertaining Angels: The Dorothy Day Story (1996)</td>\n",
       "      <td>27-Sep-1996</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Entertaining%...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1652</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>814</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1</td>\n",
       "      <td>Great Day in Harlem, A (1994)</td>\n",
       "      <td>01-Jan-1994</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Great%20Day%2...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1661</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1122</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1</td>\n",
       "      <td>They Made Me a Criminal (1939)</td>\n",
       "      <td>01-Jan-1939</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?They%20Made%2...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1615</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 28 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   item_id  mean_rating  rating_times  \\\n",
       "0     1293          5.0             3   \n",
       "1     1467          5.0             2   \n",
       "2     1653          5.0             1   \n",
       "3      814          5.0             1   \n",
       "4     1122          5.0             1   \n",
       "\n",
       "                                               title release_date  \\\n",
       "0                                    Star Kid (1997)  16-Jan-1998   \n",
       "1               Saint of Fort Washington, The (1993)  01-Jan-1993   \n",
       "2  Entertaining Angels: The Dorothy Day Story (1996)  27-Sep-1996   \n",
       "3                      Great Day in Harlem, A (1994)  01-Jan-1994   \n",
       "4                     They Made Me a Criminal (1939)  01-Jan-1939   \n",
       "\n",
       "   video_release_date                                           imdb_url  \\\n",
       "0                 NaN  http://us.imdb.com/M/title-exact?imdb-title-12...   \n",
       "1                 NaN  http://us.imdb.com/M/title-exact?Saint%20of%20...   \n",
       "2                 NaN  http://us.imdb.com/M/title-exact?Entertaining%...   \n",
       "3                 NaN  http://us.imdb.com/M/title-exact?Great%20Day%2...   \n",
       "4                 NaN  http://us.imdb.com/M/title-exact?They%20Made%2...   \n",
       "\n",
       "   unknown  Action  Adventure  ...  Horror  Musical  Mystery  Romance  Sci-Fi  \\\n",
       "0        0       0          1  ...       0        0        0        0       1   \n",
       "1        0       0          0  ...       0        0        0        0       0   \n",
       "2        0       0          0  ...       0        0        0        0       0   \n",
       "3        0       0          0  ...       0        0        0        0       0   \n",
       "4        0       0          0  ...       0        0        0        0       0   \n",
       "\n",
       "   Thriller  War  Western  ranking_rating_times  ranking_mean_rate  \n",
       "0         0    0        0                  1450                  0  \n",
       "1         0    0        0                  1483                  1  \n",
       "2         0    0        0                  1652                  2  \n",
       "3         0    0        0                  1661                  3  \n",
       "4         0    0        0                  1615                  4  \n",
       "\n",
       "[5 rows x 28 columns]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 根据频次大小依次取电影信息\n",
    "df_items_sorted_by_mean_rating.index.name = None\n",
    "df_items_sorted_by_mean_rating_merge = pd.merge(\n",
    "    df_items_sorted_by_mean_rating, df_items_sorted_by_rating_times_merge, \n",
    "    how='left', left_on='item_id', right_on='item_id')\n",
    "df_items_sorted_by_mean_rating_merge['ranking_mean_rate']=range(\n",
    "    items_mean_rating.count()) # 加上排名,数字越小，排在越前面\n",
    "\n",
    "df_items_sorted_by_mean_rating_merge.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "原来这些全 5 分的电影都只有 1-3 个评分！这就把排名排上去了！\n",
    "看来平均分不靠谱，得把评分人次也考虑进去！（总评分？）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 前二十大流行电影\n",
    "popular_items_count_top_20 = df_items_sorted_by_mean_rating_merge.iloc[0:20]['mean_rating']\n",
    "popular_items_top_20_titles =  df_items_sorted_by_mean_rating_merge.iloc[0:20]['title']\n",
    "\n",
    "objects = (list(popular_items_top_20_titles))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_items_count_top_20)\n",
    " \n",
    "plt.rcdefaults()    \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Mean Rating')\n",
    "plt.title('Most popular Movies')\n",
    " \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>item_id</th>\n",
       "      <th>mean_rating</th>\n",
       "      <th>rating_times</th>\n",
       "      <th>title</th>\n",
       "      <th>release_date</th>\n",
       "      <th>video_release_date</th>\n",
       "      <th>imdb_url</th>\n",
       "      <th>unknown</th>\n",
       "      <th>Action</th>\n",
       "      <th>Adventure</th>\n",
       "      <th>...</th>\n",
       "      <th>Horror</th>\n",
       "      <th>Musical</th>\n",
       "      <th>Mystery</th>\n",
       "      <th>Romance</th>\n",
       "      <th>Sci-Fi</th>\n",
       "      <th>Thriller</th>\n",
       "      <th>War</th>\n",
       "      <th>Western</th>\n",
       "      <th>ranking_rating_times</th>\n",
       "      <th>ranking_mean_rate</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>408</td>\n",
       "      <td>4.491071</td>\n",
       "      <td>112</td>\n",
       "      <td>Close Shave, A (1995)</td>\n",
       "      <td>28-Apr-1996</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Close%20Shave...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>305</td>\n",
       "      <td>15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>318</td>\n",
       "      <td>4.466443</td>\n",
       "      <td>298</td>\n",
       "      <td>Schindler's List (1993)</td>\n",
       "      <td>01-Jan-1993</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Schindler's%2...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>34</td>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>169</td>\n",
       "      <td>4.466102</td>\n",
       "      <td>118</td>\n",
       "      <td>Wrong Trousers, The (1993)</td>\n",
       "      <td>01-Jan-1993</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Wrong%20Trous...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>286</td>\n",
       "      <td>17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>483</td>\n",
       "      <td>4.456790</td>\n",
       "      <td>243</td>\n",
       "      <td>Casablanca (1942)</td>\n",
       "      <td>01-Jan-1942</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Casablanca%20...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>74</td>\n",
       "      <td>18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>114</td>\n",
       "      <td>4.447761</td>\n",
       "      <td>67</td>\n",
       "      <td>Wallace &amp; Gromit: The Best of Aardman Animatio...</td>\n",
       "      <td>05-Apr-1996</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/Title?Wallace+%26+Gromit%3A...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>483</td>\n",
       "      <td>19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>64</td>\n",
       "      <td>4.445230</td>\n",
       "      <td>283</td>\n",
       "      <td>Shawshank Redemption, The (1994)</td>\n",
       "      <td>01-Jan-1994</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Shawshank%20R...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>46</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>603</td>\n",
       "      <td>4.387560</td>\n",
       "      <td>209</td>\n",
       "      <td>Rear Window (1954)</td>\n",
       "      <td>01-Jan-1954</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Rear%20Window...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>106</td>\n",
       "      <td>21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>12</td>\n",
       "      <td>4.385768</td>\n",
       "      <td>267</td>\n",
       "      <td>Usual Suspects, The (1995)</td>\n",
       "      <td>14-Aug-1995</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Usual%20Suspe...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>55</td>\n",
       "      <td>22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>50</td>\n",
       "      <td>4.358491</td>\n",
       "      <td>583</td>\n",
       "      <td>Star Wars (1977)</td>\n",
       "      <td>01-Jan-1977</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Star%20Wars%2...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>178</td>\n",
       "      <td>4.344000</td>\n",
       "      <td>125</td>\n",
       "      <td>12 Angry Men (1957)</td>\n",
       "      <td>01-Jan-1957</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?12%20Angry%20...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>263</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>10 rows × 28 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    item_id  mean_rating  rating_times  \\\n",
       "15      408     4.491071           112   \n",
       "16      318     4.466443           298   \n",
       "17      169     4.466102           118   \n",
       "18      483     4.456790           243   \n",
       "19      114     4.447761            67   \n",
       "20       64     4.445230           283   \n",
       "21      603     4.387560           209   \n",
       "22       12     4.385768           267   \n",
       "23       50     4.358491           583   \n",
       "24      178     4.344000           125   \n",
       "\n",
       "                                                title release_date  \\\n",
       "15                              Close Shave, A (1995)  28-Apr-1996   \n",
       "16                            Schindler's List (1993)  01-Jan-1993   \n",
       "17                         Wrong Trousers, The (1993)  01-Jan-1993   \n",
       "18                                  Casablanca (1942)  01-Jan-1942   \n",
       "19  Wallace & Gromit: The Best of Aardman Animatio...  05-Apr-1996   \n",
       "20                   Shawshank Redemption, The (1994)  01-Jan-1994   \n",
       "21                                 Rear Window (1954)  01-Jan-1954   \n",
       "22                         Usual Suspects, The (1995)  14-Aug-1995   \n",
       "23                                   Star Wars (1977)  01-Jan-1977   \n",
       "24                                12 Angry Men (1957)  01-Jan-1957   \n",
       "\n",
       "    video_release_date                                           imdb_url  \\\n",
       "15                 NaN  http://us.imdb.com/M/title-exact?Close%20Shave...   \n",
       "16                 NaN  http://us.imdb.com/M/title-exact?Schindler's%2...   \n",
       "17                 NaN  http://us.imdb.com/M/title-exact?Wrong%20Trous...   \n",
       "18                 NaN  http://us.imdb.com/M/title-exact?Casablanca%20...   \n",
       "19                 NaN  http://us.imdb.com/Title?Wallace+%26+Gromit%3A...   \n",
       "20                 NaN  http://us.imdb.com/M/title-exact?Shawshank%20R...   \n",
       "21                 NaN  http://us.imdb.com/M/title-exact?Rear%20Window...   \n",
       "22                 NaN  http://us.imdb.com/M/title-exact?Usual%20Suspe...   \n",
       "23                 NaN  http://us.imdb.com/M/title-exact?Star%20Wars%2...   \n",
       "24                 NaN  http://us.imdb.com/M/title-exact?12%20Angry%20...   \n",
       "\n",
       "    unknown  Action  Adventure  ...  Horror  Musical  Mystery  Romance  \\\n",
       "15        0       0          0  ...       0        0        0        0   \n",
       "16        0       0          0  ...       0        0        0        0   \n",
       "17        0       0          0  ...       0        0        0        0   \n",
       "18        0       0          0  ...       0        0        0        1   \n",
       "19        0       0          0  ...       0        0        0        0   \n",
       "20        0       0          0  ...       0        0        0        0   \n",
       "21        0       0          0  ...       0        0        1        0   \n",
       "22        0       0          0  ...       0        0        0        0   \n",
       "23        0       1          1  ...       0        0        0        1   \n",
       "24        0       0          0  ...       0        0        0        0   \n",
       "\n",
       "    Sci-Fi  Thriller  War  Western  ranking_rating_times  ranking_mean_rate  \n",
       "15       0         1    0        0                   305                 15  \n",
       "16       0         0    1        0                    34                 16  \n",
       "17       0         0    0        0                   286                 17  \n",
       "18       0         0    1        0                    74                 18  \n",
       "19       0         0    0        0                   483                 19  \n",
       "20       0         0    0        0                    46                 20  \n",
       "21       0         1    0        0                   106                 21  \n",
       "22       0         1    0        0                    55                 22  \n",
       "23       1         0    1        0                     0                 23  \n",
       "24       0         0    0        0                   263                 24  \n",
       "\n",
       "[10 rows x 28 columns]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#去掉评分次数<20次的电影\n",
    "df_items_sorted_by_mean_rating_merge2 = df_items_sorted_by_mean_rating_merge[df_items_sorted_by_mean_rating_merge.rating_times>20]\n",
    "df_items_sorted_by_mean_rating_merge2.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 前二十大流行电影\n",
    "popular_items_count_top_20 = df_items_sorted_by_mean_rating_merge2.iloc[0:20]['mean_rating']\n",
    "popular_items_top_20_titles =  df_items_sorted_by_mean_rating_merge2.iloc[0:20]['title']\n",
    "\n",
    "objects = (list(popular_items_top_20_titles))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_items_count_top_20)\n",
    " \n",
    "plt.rcdefaults()    \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Mean Rating')\n",
    "plt.title('Most popular songs')\n",
    " \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 评分次数与平均评分的相关性\n",
    "散点图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(12, 4))\n",
    "ax.scatter(df_items_sorted_by_mean_rating_merge['rating_times'],df_items_sorted_by_mean_rating_merge['mean_rating']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由上图可见，评分少的不见得就平均分就低，从整体趋势来看，评分次数多的，平均分也高。可见，流行电影确实受人欢迎。从另一个角度看，存在不少广受大众欢迎的电影，但也存在不少看的人不多，但评分很高质量很好的电影，太流行的电影肯定大家都看过了，关键是如何找到那些还比较小众的电影，这些电影可能具备大众欢迎的元素，但因宣传做得不好没被大众发现，也可能是这些电影就是小众，在小圈子里非常受欢迎，但到更大的人群中就不行。如何把这些电影推荐给何时的人，是个性化推荐要考虑的问题。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 计算电影的年份（从title中来）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "pycharm": {
     "is_executing": false
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>item_id</th>\n",
       "      <th>mean_rating</th>\n",
       "      <th>rating_times</th>\n",
       "      <th>title</th>\n",
       "      <th>release_date</th>\n",
       "      <th>video_release_date</th>\n",
       "      <th>imdb_url</th>\n",
       "      <th>unknown</th>\n",
       "      <th>Action</th>\n",
       "      <th>Adventure</th>\n",
       "      <th>...</th>\n",
       "      <th>Musical</th>\n",
       "      <th>Mystery</th>\n",
       "      <th>Romance</th>\n",
       "      <th>Sci-Fi</th>\n",
       "      <th>Thriller</th>\n",
       "      <th>War</th>\n",
       "      <th>Western</th>\n",
       "      <th>ranking_rating_times</th>\n",
       "      <th>ranking_mean_rate</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1293</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3</td>\n",
       "      <td>Star Kid (1997)</td>\n",
       "      <td>16-Jan-1998</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?imdb-title-12...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1450</td>\n",
       "      <td>0</td>\n",
       "      <td>1997</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1467</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2</td>\n",
       "      <td>Saint of Fort Washington, The (1993)</td>\n",
       "      <td>01-Jan-1993</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Saint%20of%20...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1483</td>\n",
       "      <td>1</td>\n",
       "      <td>1993</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1653</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1</td>\n",
       "      <td>Entertaining Angels: The Dorothy Day Story (1996)</td>\n",
       "      <td>27-Sep-1996</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Entertaining%...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1652</td>\n",
       "      <td>2</td>\n",
       "      <td>1996</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>814</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1</td>\n",
       "      <td>Great Day in Harlem, A (1994)</td>\n",
       "      <td>01-Jan-1994</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?Great%20Day%2...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1661</td>\n",
       "      <td>3</td>\n",
       "      <td>1994</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1122</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1</td>\n",
       "      <td>They Made Me a Criminal (1939)</td>\n",
       "      <td>01-Jan-1939</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://us.imdb.com/M/title-exact?They%20Made%2...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1615</td>\n",
       "      <td>4</td>\n",
       "      <td>1939</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 29 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   item_id  mean_rating  rating_times  \\\n",
       "0     1293          5.0             3   \n",
       "1     1467          5.0             2   \n",
       "2     1653          5.0             1   \n",
       "3      814          5.0             1   \n",
       "4     1122          5.0             1   \n",
       "\n",
       "                                               title release_date  \\\n",
       "0                                    Star Kid (1997)  16-Jan-1998   \n",
       "1               Saint of Fort Washington, The (1993)  01-Jan-1993   \n",
       "2  Entertaining Angels: The Dorothy Day Story (1996)  27-Sep-1996   \n",
       "3                      Great Day in Harlem, A (1994)  01-Jan-1994   \n",
       "4                     They Made Me a Criminal (1939)  01-Jan-1939   \n",
       "\n",
       "   video_release_date                                           imdb_url  \\\n",
       "0                 NaN  http://us.imdb.com/M/title-exact?imdb-title-12...   \n",
       "1                 NaN  http://us.imdb.com/M/title-exact?Saint%20of%20...   \n",
       "2                 NaN  http://us.imdb.com/M/title-exact?Entertaining%...   \n",
       "3                 NaN  http://us.imdb.com/M/title-exact?Great%20Day%2...   \n",
       "4                 NaN  http://us.imdb.com/M/title-exact?They%20Made%2...   \n",
       "\n",
       "   unknown  Action  Adventure  ...  Musical  Mystery  Romance  Sci-Fi  \\\n",
       "0        0       0          1  ...        0        0        0       1   \n",
       "1        0       0          0  ...        0        0        0       0   \n",
       "2        0       0          0  ...        0        0        0       0   \n",
       "3        0       0          0  ...        0        0        0       0   \n",
       "4        0       0          0  ...        0        0        0       0   \n",
       "\n",
       "   Thriller  War  Western  ranking_rating_times  ranking_mean_rate  year  \n",
       "0         0    0        0                  1450                  0  1997  \n",
       "1         0    0        0                  1483                  1  1993  \n",
       "2         0    0        0                  1652                  2  1996  \n",
       "3         0    0        0                  1661                  3  1994  \n",
       "4         0    0        0                  1615                  4  1939  \n",
       "\n",
       "[5 rows x 29 columns]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 使用正则表达式取出上映年份\n",
    "df_items_sorted_by_mean_rating_merge['year'] = df_items_sorted_by_mean_rating_merge.title.str.extract('(\\((\\d{4})\\))', expand=True).iloc[:,1] \n",
    "df_items_sorted_by_mean_rating_merge.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "#去掉年份后的Title\n",
    "#import re\n",
    "#pattern = re.compile(r'^(.*)\\((\\d+)\\)$')\n",
    "#title_map = {val:pattern.match(val).group(1) for ii,val in enumerate(set(df_items_sorted_by_mean_rating_merge['title']))}\n",
    "#df_items_sorted_by_mean_rating_merge['title'] = df_items_sorted_by_mean_rating_merge['title'].map(title_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "pycharm": {
     "is_executing": false
    }
   },
   "outputs": [],
   "source": [
    "#统计每年上映的电影数目，默认是降序排列\n",
    "items_sorted_by_year = df_items_sorted_by_mean_rating_merge['year'].value_counts() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "pycharm": {
     "is_executing": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1b2f54a3ac8>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1500x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(15, 12))\n",
    "items_sorted_by_year.plot(kind='bar', title='freq')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  },
  "pycharm": {
   "stem_cell": {
    "cell_type": "raw",
    "metadata": {
     "collapsed": false
    },
    "source": []
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
